MathDB

4

Part of 2020 Dutch BxMO TST

Problems(1)

F D =FM wanted , AB=BC, equilateral BCD

Source: 2020 Dutch BxMO TST p4

11/21/2020
Three different points A,BA,B and CC lie on a circle with center MM so that ∣AB∣=∣BC∣| AB | = | BC |. Point DD is inside the circle in such a way that △BCD\vartriangle BCD is equilateral. Let FF be the second intersection of ADAD with the circle . Prove that ∣FD∣=∣FM∣| F D | = | FM |.
equal segmentsEquilateralgeometry